| Base | Representation |
|---|---|
| bin | 1000100010110… |
| … | …00000000000000 |
| 3 | 11222211220000000 |
| 4 | 10101120000000 |
| 5 | 121321213431 |
| 6 | 11040000000 |
| 7 | 1530062553 |
| oct | 421300000 |
| 9 | 158756000 |
| 10 | 71663616 |
| 11 | 374a7a32 |
| 12 | 20000000 |
| 13 | 11b01b0b |
| 14 | 973669a |
| 15 | 64589e6 |
| hex | 4458000 |
71663616 has 128 divisors (see below), whose sum is σ = 214954800. Its totient is φ = 23887872.
The previous prime is 71663609. The next prime is 71663617. The reversal of 71663616 is 61636617.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a Jordan-Polya number, since it can be written as (4!)4 ⋅ (3!)3.
71663616 is a `hidden beast` number, since 7 + 1 + 6 + 636 + 16 = 666.
It is a tau number, because it is divible by the number of its divisors (128).
It is an ABA number since it can be written as A⋅BA, here for A=3, B=288.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nialpdrome in base 12.
It is a zygodrome in base 3.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (71663617) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23887871 + 23887872 + 23887873.
Almost surely, 271663616 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 71663616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107477400).
71663616 is an abundant number, since it is smaller than the sum of its proper divisors (143291184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
71663616 is an frugal number, since it uses more digits than its factorization.
71663616 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 51 (or 5 counting only the distinct ones).
The product of its digits is 27216, while the sum is 36.
The square root of 71663616 is about 8465.4365510587. The cubic root of 71663616 is about 415.3678762485.
The spelling of 71663616 in words is "seventy-one million, six hundred sixty-three thousand, six hundred sixteen".
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